Palm Beach gained its signature trees by happenstance, thanks to a 19th-century shipwreck that dispersed coconuts on the beach. Years later when tycoon Henry Morrison Flagler surveyed the area, he was inspired to transform the island into an exclusive resort. Now a haven for the wealthy and a popular cultural destination, the city offers plenty to do, from concerts at the Meyer Amphitheatre to exhibitions at the Norton Museum. Incredible galleries, amazing shopping and a host of fabulous restaurants lend yet more appeal. West Palm Beach, just across Lake Worth, also promises plenty of leisure-time opportunities.